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Finding the Third Proportional to 12,784,110.75 and 19,190,928.38

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Solution

The third proportional to 12,784,110.75 and 19,190,928.38 is: 28,808,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784,110.75 : 19,190,928.38 = 19,190,928.38 : x
  2. Step 2: Convert to fraction form
    12,784,110.75/19,190,928.38 = 19,190,928.38/x
  3. Step 3: Cross multiply
    12,784,110.75x = 19,190,928.38 × 19,190,928.38
  4. Step 4: Simplify right side
    12,784,110.75x = 368,291,731,894,380.12
  5. Step 5: Solve for x
    x = 368,291,731,894,380.12/12,784,110.75
  6. Step 6: Final answer
    x = 28,808,552.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.